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Finding the Fourth Proportional to 5,301.62, 7,952.82 and 1,406

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Solution

The fourth proportional to 5,301.62, 7,952.82 and 1,406 is: 2,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.62 : 7,952.82 = 1,406 : x
  2. Step 2: Convert to fraction form
    5,301.62/7,952.82 = 1,406/x
  3. Step 3: Cross multiply
    5,301.62x = 7,952.82 × 1,406
  4. Step 4: Simplify right side
    5,301.62x = 11,181,664.92
  5. Step 5: Solve for x
    x = 11,181,664.92/5,301.62
  6. Step 6: Final answer
    x = 2,109.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.